Privilege on strictly convex domains

Mihai Putinar; Sebastian Sandberg

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (2004)

  • Volume: 15, Issue: 1, page 39-45
  • ISSN: 1120-6330

Abstract

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We adapt the privilege theorem of Douady and Pourcin from polydomains to strictly convex domains in the complex space.

How to cite

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Putinar, Mihai, and Sandberg, Sebastian. "Privilege on strictly convex domains." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 15.1 (2004): 39-45. <http://eudml.org/doc/252426>.

@article{Putinar2004,
abstract = {We adapt the privilege theorem of Douady and Pourcin from polydomains to strictly convex domains in the complex space.},
author = {Putinar, Mihai, Sandberg, Sebastian},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Disk algebra; Banach module; Division problem; Convex domain; disk algebra; division problem; convex domain},
language = {eng},
month = {3},
number = {1},
pages = {39-45},
publisher = {Accademia Nazionale dei Lincei},
title = {Privilege on strictly convex domains},
url = {http://eudml.org/doc/252426},
volume = {15},
year = {2004},
}

TY - JOUR
AU - Putinar, Mihai
AU - Sandberg, Sebastian
TI - Privilege on strictly convex domains
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2004/3//
PB - Accademia Nazionale dei Lincei
VL - 15
IS - 1
SP - 39
EP - 45
AB - We adapt the privilege theorem of Douady and Pourcin from polydomains to strictly convex domains in the complex space.
LA - eng
KW - Disk algebra; Banach module; Division problem; Convex domain; disk algebra; division problem; convex domain
UR - http://eudml.org/doc/252426
ER -

References

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  1. AMAR, E., Non division dans A ∞ ⁢ Ω . Math. Z., 188, 1985, 493-511. Zbl0547.32010MR774554DOI10.1007/BF01161653
  2. BALL, J.A. - MALAKORN, T., Feedback control for multidimensional systems and interpolation problems for multivariable functions. Virginia Tech. Preprint, 2002. Zbl1035.93037
  3. DOUADY, A., Le problème des modules pour les sous-espaces analytiques compacts d’un espace analytique donné. Ann. Inst. Fourier, Grenoble, 16, 1966, 1-95. Zbl0146.31103MR203082
  4. DOUADY, A. - FRISCH, J. - HIRSCHOWITZ, A., Recouvrements privilégiés. Ann. Inst. Fourier, Grenoble, 22, 1972, 59-96. Zbl0236.32005MR344515
  5. ESCHMEIER, J. - PUTINAR, M., Spectral decompositions and analytic sheaves. London Mathematical Society monographs; new ser. 10, Oxford University Press, Clarendon Press, Oxford1996. Zbl0855.47013MR1420618
  6. GRAUERT, H. - REMMERT, R., Theory of Stein spaces. Springer-Verlag, Berlin1979. Zbl0433.32007MR580152
  7. HENKIN, G.M. - LEITERER, J., Theory of functions on complex manifolds. Akademie-Verlag, Berlin1984. Zbl0573.32001MR774049
  8. MALTSINIOTIS, G., Privilège numérique uniforme. Astérisque, 194-195, Soc. Math. France, Paris1991. Zbl0746.32001
  9. POURCIN, G., Sous-espaces privilégiés d’un polycylindre. Ann. Inst. Fourier, Grenoble, 25, 1975, 151-193. Zbl0297.32010MR390292

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